Concepedia

Percolation thresholds on finitely ramified fractals

Haim Taitelbaum, Shlomo Havlin, Peter Grassberger, U Moenig

Journal of Physics A Mathematical and General · 1990 · 13 citations · 7 references

DOI

Concepts

Abstract

Exact renormalisation group recursion relations are used to estimate the effective percolation thresholds for site and bond percolation on finite-generation Sierpinski gaskets, and for bond percolation on branching Koch curves.

References

7

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Yuval Gefen, Amnon Aharony, Yonathan Shapir et al. · Journal of Physics A Mathematical and General · 1984 · 228 citations

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Phase transitions on fractals. I. Quasi-linear lattices

Yuval Gefen, Amnon Aharony, B. B. Mandelbrot · Journal of Physics A Mathematical and General · 1983 · 169 citations

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Self-avoiding walks on finitely ramified fractals

Daniel ben‐Avraham, Shlomo Havlin · Physical review. A, General physics · 1984 · 30 citations

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Tricritical points of trails, their Euler digraphs and graphs: exact results on the Sierpinski gasket

Iksoo Chang, Yonathan Shapir · Journal of Physics A Mathematical and General · 1988 · 17 citations

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Numerical evidence of the critical percolation probability P<sub>c</sub>=1 for site problems on Sierpinski gaskets

Yu Bo-Ming, Yao Kai-Lun · Journal of Physics A Mathematical and General · 1988 · 16 citations

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